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Finding the Fourth Proportional to 3,155.48, 4,733.44 and 965.76

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Solution

The fourth proportional to 3,155.48, 4,733.44 and 965.76 is: 1,448.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.48 : 4,733.44 = 965.76 : x
  2. Step 2: Convert to fraction form
    3,155.48/4,733.44 = 965.76/x
  3. Step 3: Cross multiply
    3,155.48x = 4,733.44 × 965.76
  4. Step 4: Simplify right side
    3,155.48x = 4,571,367.01
  5. Step 5: Solve for x
    x = 4,571,367.01/3,155.48
  6. Step 6: Final answer
    x = 1,448.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.